Answer: Therefore, when dividing 564 by 44, we get a quotient of 12 with a remainder of 2.
Explanation:
To find the result of dividing 564 by 44 with a remainder, we can use long division.
1. Start by dividing the first digit of the dividend (5) by the divisor (44). Since 5 is smaller than 44, we bring down the next digit (6) to create a new dividend of 56.
____
44 | 5 6 4
4 4
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1 2
2. Next, divide 12 (the new dividend) by 44. Since 12 is smaller than 44, we bring down the next digit (4) to create a new dividend of 124.
____
44 | 5 6 4
4 4
-----
1 2
1 0 0
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2
3. Continue this process until there are no more digits to bring down or until the remainder is zero. In this case, we have a remainder of 2.
____
44 | 5 6 4
4 4
-----
1 2
1 0 0
-------
2